{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "f8ba3161",
   "metadata": {},
   "source": [
    "# Interp 7: Building in structural biases"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6535c1f2",
   "metadata": {},
   "source": [
    "In the previous notebook, we have shown how to test hypothesis for a trained model. If you are content with the insights (tree structure and symmetry properties), you can simply stop here. However, if you want to leverage these properties and apply these inductive biases to your neural network, this notebook walks you through a few possiblities."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "3b818211",
   "metadata": {},
   "outputs": [],
   "source": [
    "from kan import *"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e9926ed",
   "metadata": {},
   "source": [
    "Case 1: Separability\n",
    "\n",
    "* if you have confirmed that $f(x_1,x_2,x_3,x_4)=f_1(x_1)f_2(x_2)f_3(x_3)f_4(x_4)$, you can make the last operation to be multiplication. And you can use model.module to create modules so that variables do not interact."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "cbe4788b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 500x200 with 22 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n",
    "x = torch.rand(100,4)*2-1\n",
    "model(x)\n",
    "model.plot(beta=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "f5aff4ae",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 500x200 with 22 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# to specify a module, you need to specify the start layer (0 in this case),\n",
    "# you also need to specify which neurons belong to this module\n",
    "# the rule might be a bit complicated to explain, but you will observe the pattern with a few examples. \n",
    "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n",
    "x = torch.rand(100,4)*2-1\n",
    "model(x)\n",
    "\n",
    "model.module(0,'[0]->[0]')\n",
    "model.module(0,'[1]->[1]')\n",
    "model.module(0,'[2]->[2]')\n",
    "model.module(0,'[3]->[3]')\n",
    "\n",
    "model.plot(beta=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "4d5137cb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 500x200 with 22 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n",
    "x = torch.rand(100,4)*2-1\n",
    "model(x)\n",
    "\n",
    "model.module(0,'[0,1]->[0,1]')\n",
    "model.module(0,'[2,3]->[2,3]')\n",
    "\n",
    "model.plot(beta=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "34a7bce5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 500x200 with 22 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n",
    "x = torch.rand(100,4)*2-1\n",
    "model(x)\n",
    "\n",
    "model.module(0,'[0,1]->[2,3]')\n",
    "model.module(0,'[2,3]->[0,1]')\n",
    "\n",
    "model.plot(beta=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "816a4250",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 500x200 with 22 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n",
    "x = torch.rand(100,4)*2-1\n",
    "model(x)\n",
    "\n",
    "model.module(0,'[0]->[0]')\n",
    "model.module(0,'[1,2,3]->[1,2,3]')\n",
    "\n",
    "model.plot(beta=1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1728aea1",
   "metadata": {},
   "source": [
    "Case 2: you can use model.module smartly to create tree graphs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "37e983f7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 500x800 with 44 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# a tree case\n",
    "seed = 0\n",
    "model = KAN(width=[4,4,2,3,1], grid=3, k=3, seed=seed)\n",
    "x = torch.rand(100,4)*2-1\n",
    "model(x)\n",
    "model.plot(beta=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "b6c70991",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n",
      "saving model version 0.1\n",
      "saving model version 0.2\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 500x800 with 44 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# a tree case\n",
    "seed = 0\n",
    "model = KAN(width=[4,4,2,3,1], grid=3, k=3, seed=seed)\n",
    "x = torch.rand(100,4)*2-1\n",
    "\n",
    "model.module(0,'[0,1]->[0,1]->[0,1]->[0]')\n",
    "model.module(0,'[2,3]->[2,3]->[2,3]->[1]')\n",
    "#model.module(2,'[0]->[0,1,2]')\n",
    "#model.module(2,'[1]->[3,4,5]')\n",
    "\n",
    "model(x)\n",
    "model.plot(beta=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "05cf43c8",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "| train_loss: 3.84e-02 | test_loss: 4.00e-02 | reg: 1.17e+01 | : 100%|█| 50/50 [00:22<00:00,  2.20it"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "# a formula with a two-level tree structure\n",
    "f = lambda x: torch.sin(x[:,[0]]**2+x[:,[1]]**2)+torch.sin(x[:,[2]]**2+x[:,[3]]**2)\n",
    "dataset = create_dataset(f, n_var=4)\n",
    "\n",
    "model.fit(dataset, steps=50, lamb=2e-3, reg_metric='edge_forward_n');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "1eb57eff",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 500x800 with 44 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "14aaa394",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
